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Finding the Fourth Proportional to 1,714.94, 2,366.61 and 928.99

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Solution

The fourth proportional to 1,714.94, 2,366.61 and 928.99 is: 1,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.94 : 2,366.61 = 928.99 : x
  2. Step 2: Convert to fraction form
    1,714.94/2,366.61 = 928.99/x
  3. Step 3: Cross multiply
    1,714.94x = 2,366.61 × 928.99
  4. Step 4: Simplify right side
    1,714.94x = 2,198,557.02
  5. Step 5: Solve for x
    x = 2,198,557.02/1,714.94
  6. Step 6: Final answer
    x = 1,282.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.